A product formula and a convolution structure for a k-Hankel transform on R

Salem Ben Saïd

doi:10.1016/j.jmaa.2018.03.073

A product formula and a convolution structure for a k-Hankel transform on R

Salem Ben Saïd

Research output: Contribution to journal › Article › peer-review

40 Citations (Scopus)

Abstract

The product B_k(λ,x)B_k(λ,y) of two Dunkl type kernels is expressed as an integral in terms of B_k(λ,z) with explicit non-positive kernel. As a consequence, a non-positivity preserving convolution structure is established.

Original language	English
Pages (from-to)	1132-1146
Number of pages	15
Journal	Journal of Mathematical Analysis and Applications
Volume	463
Issue number	2
DOIs	https://doi.org/10.1016/j.jmaa.2018.03.073
Publication status	Published - Jul 15 2018
Externally published	Yes

Keywords

Convolution structure
Generalized Fourier transform
Product formula
Translation operators

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1016/j.jmaa.2018.03.073

Cite this

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title = "A product formula and a convolution structure for a k-Hankel transform on R",

abstract = "The product Bk(λ,x)Bk(λ,y) of two Dunkl type kernels is expressed as an integral in terms of Bk(λ,z) with explicit non-positive kernel. As a consequence, a non-positivity preserving convolution structure is established.",

keywords = "Convolution structure, Generalized Fourier transform, Product formula, Translation operators",

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AB - The product Bk(λ,x)Bk(λ,y) of two Dunkl type kernels is expressed as an integral in terms of Bk(λ,z) with explicit non-positive kernel. As a consequence, a non-positivity preserving convolution structure is established.

KW - Convolution structure

KW - Generalized Fourier transform

KW - Product formula

KW - Translation operators

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A product formula and a convolution structure for a k-Hankel transform on R

Abstract

Keywords

ASJC Scopus subject areas

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